{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Combination of line plot and heatmap with date axis\n",
    "\n",
    "Water temperature within a pond was measured for 5 months. Continous wavelet transform enables the identification of frequencies that were prominent within the data. High correlation coefficients indicate high frequency responses. The correlation coefficients were obtained using the `Signal.ContinuousWavelet` module from `FSharp.Stats`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "dotnet_interactive": {
     "language": "fsharp"
    },
    "vscode": {
     "languageId": "dotnet-interactive.fsharp"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><div></div><div></div><div><strong>Installed Packages</strong><ul><li><span>Plotly.NET.Interactive, 3.0.2</span></li></ul></div></div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "Loading extensions from `Plotly.NET.Interactive.dll`"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "// Referencing Plotly.NET.Interactive extension\n",
    "#r \"nuget: Plotly.NET.Interactive, 3.0.2\"\n",
    "\n",
    "open System.IO\n",
    "open Plotly.NET\n",
    "open Plotly.NET.StyleParam\n",
    "open Plotly.NET.LayoutObjects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "dotnet_interactive": {
     "language": "fsharp"
    },
    "vscode": {
     "languageId": "dotnet-interactive.fsharp"
    }
   },
   "outputs": [],
   "source": [
    "let waveletData = \n",
    "    File.ReadAllLines(__SOURCE_DIRECTORY__ + @\"\\data\\waveletData.txt\")\n",
    "    |> Array.map (fun x -> x.Split '\\t')\n",
    "\n",
    "let waveletPeriods = waveletData.[0].[2..]\n",
    "\n",
    "let waveletDates,waveletTemp,waveletCoeffs = \n",
    "    waveletData\n",
    "    |> Array.tail\n",
    "    |> Array.map (fun x -> \n",
    "        let date = x.[0]\n",
    "        let temp = float x.[1]\n",
    "        let coeff = Array.map float x.[2..] \n",
    "        date,temp,coeff\n",
    "        )\n",
    "    |> Array.unzip3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "dotnet_interactive": {
     "language": "fsharp"
    },
    "vscode": {
     "languageId": "dotnet-interactive.fsharp"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div>\n",
       "    <div id=\"27b65510-aabc-49da-b77f-53d5bdbf24eb\"><!-- Plotly chart will be drawn inside this DIV --></div>\r\n",
       "<script type=\"text/javascript\">\r\n",
       "\r\n",
       "            var renderPlotly_27b65510aabc49dab77f53d5bdbf24eb = function() {\r\n",
       "            var fsharpPlotlyRequire = requirejs.config({context:'fsharp-plotly',paths:{plotly:'https://cdn.plot.ly/plotly-2.6.3.min'}}) || require;\r\n",
       "            fsharpPlotlyRequire(['plotly'], function(Plotly) {\r\n",
       "\r\n",
       "            var data = 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240, 248, 1.0)\"},\"line\":{\"color\":\"rgba(255, 255, 255, 1.0)\"}},\"header\":{\"fill\":{\"color\":\"rgba(200, 212, 227, 1.0)\"},\"line\":{\"color\":\"rgba(255, 255, 255, 1.0)\"}}}]}},\"xaxis2\":{\"title\":{\"text\":\"Date\"},\"showgrid\":false,\"side\":\"bottom\"},\"xaxis\":{\"title\":{\"text\":\"\"},\"showline\":false,\"showgrid\":false,\"side\":\"top\",\"overlaying\":\"x2\"},\"yaxis2\":{\"title\":{\"text\":\"Temperature (°C)\"},\"range\":[-25.0,30.0],\"side\":\"left\"},\"yaxis\":{\"title\":{\"text\":\"Frequency\",\"x\":0.1,\"y\":0.1},\"range\":[25.0,-40.0],\"showline\":false,\"showgrid\":false,\"side\":\"right\",\"overlaying\":\"y2\"},\"showlegend\":true};\r\n",
       "            var config = {\"responsive\":true,\"toImageButtonOptions\":{\"format\":\"svg\"}};\r\n",
       "            Plotly.newPlot('27b65510-aabc-49da-b77f-53d5bdbf24eb', data, layout, config);\r\n",
       "});\r\n",
       "            };\r\n",
       "            if ((typeof(requirejs) !==  typeof(Function)) || (typeof(requirejs.config) !== typeof(Function))) {\r\n",
       "                var script = document.createElement(\"script\");\r\n",
       "                script.setAttribute(\"src\", \"https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js\");\r\n",
       "                script.onload = function(){\r\n",
       "                    renderPlotly_27b65510aabc49dab77f53d5bdbf24eb();\r\n",
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       "                document.getElementsByTagName(\"head\")[0].appendChild(script);\r\n",
       "            }\r\n",
       "            else {\r\n",
       "                renderPlotly_27b65510aabc49dab77f53d5bdbf24eb();\r\n",
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       "</script>\r\n",
       "\n",
       "    \n",
       "</div>    \n"
      ]
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "// line chart of raw temperature measurements\n",
    "let rawChart = \n",
    "    Chart.Line (\n",
    "        x = waveletDates,\n",
    "        y = waveletTemp,\n",
    "        LineColor = Color.fromHex \"#636efa\",\n",
    "        Name = \"temp\"\n",
    "        )\n",
    "    // sets the id for the axis regarding the line chart\n",
    "    |> Chart.withAxisAnchor(X=2)\n",
    "    |> Chart.withAxisAnchor(Y=2) \n",
    "\n",
    "// heatmap of continuous wavelet coefficients\n",
    "let heatmap = \n",
    "    let coefficients = waveletCoeffs |> Array.transpose\n",
    "    Chart.Heatmap(\n",
    "        coefficients,\n",
    "        ColorScale = StyleParam.Colorscale.Portland,\n",
    "        colNames = waveletDates,\n",
    "        // frequencies that were analysed in wavelet analysis\n",
    "        rowNames = waveletPeriods,\n",
    "        // no color scale should be added\n",
    "        ShowScale = false\n",
    "        )\n",
    "    |> Chart.withAxisAnchor(X=1)\n",
    "    |> Chart.withAxisAnchor(Y=1)\n",
    "\n",
    "//combine the charts and add additional styling\n",
    "let waveletChart =\n",
    "    Chart.combine([heatmap;rawChart])\n",
    "    //|> Chart.withTemplate(ChartTemplates.lightMirrored)\n",
    "    // sets bottom x axis for temperature line chart\n",
    "    |> Chart.withXAxisStyle(\"Date\", Side=StyleParam.Side.Bottom, Id=SubPlotId.XAxis 2, ShowGrid=false)\n",
    "    // sets top x axis for heatmap\n",
    "    |> Chart.withXAxisStyle(\"\", Side=StyleParam.Side.Top, ShowLine=false, ShowGrid=false, Id=SubPlotId.XAxis 1, Overlaying=LinearAxisId.X 2)\n",
    "    // sets left y axis for temperature line chart\n",
    "    |> Chart.withYAxisStyle(\"Temperature (°C)\", MinMax=(-25.,30.), Side=StyleParam.Side.Left, Id=SubPlotId.YAxis 2)\n",
    "    // sets right y axis for heatmap\n",
    "    |> Chart.withYAxisStyle(Title=Title.init(\"Frequency\",X=0.1,Y=0.1), MinMax=(25.,-40.), ShowLine=false, ShowGrid=false, Side=StyleParam.Side.Right, Id=SubPlotId.YAxis 1, Overlaying=StyleParam.LinearAxisId.Y 2)\n",
    "    |> Chart.withSize(1000.,985.)\n",
    "    // because just one line trace is present, by default no legend is shown\n",
    "    |> Chart.withLegend true\n",
    "    // alters the \"Download plot\" button to export the plot as SVG \n",
    "    |> Chart.withConfig(Config.init(ToImageButtonOptions = ConfigObjects.ToImageButtonOptions.init(Format=ImageFormat.SVG)))\n",
    "    //|> Chart.withTitle(Title.init(\"Wavelet transformed temperature data\",X=0.5))\n",
    "\n",
    "waveletChart\n"
   ]
  }
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